FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Determination of a diffuse reflecting surface under pulsed irradiation |
Kan V.A., Prokhorov I.V. |
2018, issue 2, P. 206-215 |
Abstract |
| An inverse problem of determining a diffusely reflecting surface under given functionals of the radiation flux density for a nonstationary radiation transfer equation is considered. Assuming the point pulsed source and the single scattering approximation, authors obtained the nonlinear differential equation. The solution has been obtained in a few quadratures to determine the profile of the Lambert surface. The computational experiments were carried out on test examples. |
Keywords: radiation transfer equation, diffuse reflection, Lambert's cosine law, inverse problem |
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References |
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